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110130003100 = 225213373383593
BaseRepresentation
bin110011010010001000…
…0100111110010011100
3101112021011000211002201
41212210100213302130
53301021240044400
6122332032101244
710646060403145
oct1464420476234
9345234024081
10110130003100
1142784574397
1219416394824
13a501416c10
14548a584acc
152ce872706a
hex19a4427c9c

110130003100 has 144 divisors (see below), whose sum is σ = 259165412352. Its totient is φ = 40380272640.

The previous prime is 110130003089. The next prime is 110130003101. The reversal of 110130003100 is 1300031011.

It is a super-2 number, since 2×1101300031002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110130003101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185716404 + ... + 185716996.

It is an arithmetic number, because the mean of its divisors is an integer number (1799759808).

Almost surely, 2110130003100 is an apocalyptic number.

110130003100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110130003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129582706176).

110130003100 is an abundant number, since it is smaller than the sum of its proper divisors (149035409252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110130003100 is a wasteful number, since it uses less digits than its factorization.

110130003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 110130003100 its reverse (1300031011), we get a palindrome (111430034111).

It can be divided in two parts, 1 and 10130003100, that added together give a palindrome (10130003101).

The spelling of 110130003100 in words is "one hundred ten billion, one hundred thirty million, three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 373 383 593 650 746 766 1186 1300 1492 1532 1865 1915 2372 2965 3730 3830 4849 4979 5930 7460 7660 7709 9325 9575 9698 9958 11860 14825 15418 18650 19150 19396 19916 24245 24895 29650 30836 37300 38300 38545 48490 49790 59300 77090 96980 99580 121225 124475 142859 154180 192725 221189 227119 242450 248950 285718 385450 442378 454238 484900 497900 571436 714295 770900 884756 908476 1105945 1135595 1428590 1857167 2211890 2271190 2857180 2875457 2952547 3571475 3714334 4423780 4542380 5529725 5677975 5750914 5905094 7142950 7428668 9285835 11059450 11355950 11501828 11810188 14285900 14377285 14762735 18571670 22118900 22711900 28754570 29525470 37143340 46429175 57509140 59050940 71886425 73813675 84715387 92858350 143772850 147627350 169430774 185716700 287545700 295254700 338861548 423576935 847153870 1101300031 1694307740 2117884675 2202600062 4235769350 4405200124 5506500155 8471538700 11013000310 22026000620 27532500775 55065001550 110130003100